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Finding the Third Proportional to 80.38 and 173.49

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Solution

The third proportional to 80.38 and 173.49 is: 374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.38 : 173.49 = 173.49 : x
  2. Step 2: Convert to fraction form
    80.38/173.49 = 173.49/x
  3. Step 3: Cross multiply
    80.38x = 173.49 × 173.49
  4. Step 4: Simplify right side
    80.38x = 30,098.18
  5. Step 5: Solve for x
    x = 30,098.18/80.38
  6. Step 6: Final answer
    x = 374.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.